They are a "private sector" company in the sense that they are not a "public sector" (i.e., government) entity.
They are a "publicy traded" company (like Tesla) because their shares are available on the stock market for non-qualified investors, and not "privately held" (like SpaceX).
They are a "publicy traded" company (like Tesla) because their shares are available on the stock market for non-qualified investors, and not "privately held" (like SpaceX).